The student pilot reported that he was landing the turbine-powered helicopter on a frozen lake covered by 18 to 24 inches of snow. He reported that during the landing flare, in reduced visibility due to blowing snow, the helicopter drifted right and when the skid depth in the snow increased the helicopter rolled over, which resulted in structural damage to the airframe. The pilot reported that there were no preaccident mechanical failures or malfunctions with the helicopter.